Question

Can someone please help me??

Answer 1

Answer : The value of x is 4.1 cm.

Step-by-step explanation :

As we know that the perpendicular dropped from the center divides the chord into two equal parts.

That means,

AB = CB =
`(15.6cm)/(2)=7.8cm`

Now we have o calculate the value of x by using Pythagoras theorem.

Using Pythagoras theorem in ΔOBA :

`(Hypotenuse)^2=(Perpendicular)^2+(Base)^2`

`(OA)^2=(OB)^2+(BA)^2`

Now put all the values in the above expression, we get the value of side OB.

`(8.8)^2=(x)^2+(7.8)^2`

`x=√((8.8)^2-(7.8)^2)`

`x=√(77.44-60.84)`

`x=√(16.6)`

`x=4.074\approx 4.1`

Therefore, the value of x is 4.1 cm.